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I have another question, a Rigger rigged on a steel lynx, would use the manual gunnery modifier to shoot I guess (unless she wants to use the sensors to target lock something).
IF you're shooting manually, then yes - a rigger may choose to do so, to avoid altering the firing vehicles signature or to counteract ECM, or to get quick fire off, avoiding having to spend an action to get a target lock. They would use the gunnery skill if a weapon is vehicle mounted. See Page 151 SR3
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Can she use her control pool to fire a weapon or she's limited to combat pool?
From P44 of SR3:
Control Pool
The Control Pool is used by riggers to augment tests strictly relating to controlling a rigged vehicle, such as a Maneuver Test or resisting damage from attacks against a character’s rigged vehicle.
My interpretation of that would be that if leaning out of a window firing an SMG, using a weapon mounted on a pintle, or using a gun chair and firing weapons manually (like the ball turret on a bomber or the dorsal/ventral lasers on the Millenium Falcon) - then no. You can use your smartlink if all the parts are equipped, but you don't get control pool. If you're firing the guns via the rigged system - either directly connected, or via a remote turret, or even a remote deck - then yes. But, by being rigged in, you're liable for dumpshock if the vehicle takes damage.
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Is there any way to bring range magnification into a drone firing system?
Have a look at P135 of SR3 where it discusses "sensors" - it details that sensors have a magnification power of Rating X 50 as a maximum. I'd certainly be happy to assume that even level 1 sensors with a X50 magnification is equivalent to an optical zoom 3 scope in terms of lowering range modifiers...
You might also want to look at Clearsight, on P99 of Rigger 3 for helping drones perceive targets more easily and get a lock on them.
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Firing with a rigged drone is always going to be a complex action regardless of which method of fire are you using?
Yes. Page 157 of SR3:
Complex Actions
Fire a Weapon System: A rigger may fire an armed weapon on any single drone. (See Sensor-Enhanced Gunnery, p. 152.) If the rigger is directly controlling a primary drone, he cannot perform this action with a secondary drone. Riggers operating through a cybernetic link can use their Combat Pool dice only with the primary drone.
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Is there anything I should be aware of when a rigger uses a drone?
Riggers using drones can make things interesting as a GM. On one hand, being able to fly and carry heavy armour can lead to them bypassing threat / challenge in your adventure, and make things far too easy to deal with. On the other hand, damage to drones is costly and can soak up huge amounts of the pay for a job.
Be prepared to come up with scenarios that don't penalise the rigger for being a rigger - but provides some challenges. Static in the air, faraday cages, or electrical storms can all limit or affect remote operation, making things harder (but not impossible). Beware - an armoured drone may just be immune to small arms fire and allow the entire party to hide behind a shield - but also the second you put a goon in your run firing AV from his Ares Alpha, it's quite likely the drone is going to get taken out and write off 30K of drone in one hit, and give your rigger dumpshock. Perhaps find and steer your drone activity into surveillance, quarterbacking a play or providing tactical overviews, or countering enemy drone activity, or give them an environment where say only a small drone is suitable / possible. On the other hand, you can have the drone be the only way the players stand a chance - have them all huddling behind the steel lynx as it spangs the regular fire from 30+ mafia goons unloading fully auto on it - making it clear to the players that they're salami if they get caught in that firepower, and the rigger has to drive like he's a mobile bunker as he's the only thing saving their ass.
Try to strike a balance between situations where the rigger has to be very careful with what they do / can't use their drones for plot/environmental reasons, can operate normally, or becomes the gods of the encounter and completely dominate - and they'll always have to think about the situation and try to work out what "mode" they're in, and how much risk they want to take. At least, that's my 2p worth. I try to do the same for the other archetypes - everyone gets a scenario where they really get to flex and shine, and show off their skills from time to time - and conversely, they sometimes get into a situation that neuters their abilities and they have to either RP their way out, or rely on the team members (who are getting their turn in the spotlight to look cool)...